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Volumn 37, Issue 1, 2003, Pages 63-72

Discontinuous Galerkin and the crouzeix-raviart element: Application to elasticity

Author keywords

Crouzeix Raviart element; Discontinuous Galerkin; Incompressible elasticity; Nitsche's method

Indexed keywords


EID: 0037262029     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2003020     Document Type: Article
Times cited : (145)

References (15)
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    • Baker, G.A.1
  • 3
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    • Linear finite element methods for planar linear elasticity
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    • (1992) Math. Comp. , vol.59 , pp. 321-338
    • Brenner, S.C.1    Sung, L.2
  • 5
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary Stokes equations
    • M. Crouzeix and P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO Sér. Rouge 7 (1973) 33-75.
    • (1973) RAIRO Sér. Rouge , vol.7 , pp. 33-75
    • Crouzeix, M.1    Raviart, P.-A.2
  • 6
    • 84966201698 scopus 로고
    • Nonconforming finite element methods for the equations of linear elasticity
    • R.S. Falk, Nonconforming finite element methods for the equations of linear elasticity. Math. Comp. 57 (1991) 529-550.
    • (1991) Math. Comp. , vol.57 , pp. 529-550
    • Falk, R.S.1
  • 7
    • 0020735864 scopus 로고
    • A nonconforming piecewise quadratic finite element on triangles
    • M. Fortin and M. Soulie, A nonconforming piecewise quadratic finite element on triangles. Internat. J. Numer. Methods Engrg. 19 (1983) 505-520.
    • (1983) Internat. J. Numer. Methods Engrg. , vol.19 , pp. 505-520
    • Fortin, M.1    Soulie, M.2
  • 8
    • 0037085994 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
    • P. Hansbo and M.G. Larson, Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method. Comput. Methods Appl. Mech. Engrg. 191 (2002) 1895-1908.
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1895-1908
    • Hansbo, P.1    Larson, M.G.2
  • 9
    • 0013040041 scopus 로고    scopus 로고
    • A simple nonconforming bilinear element for the elasticity problem
    • W.A. Wall et al. Eds., CIMNE
    • P. Hansbo and M.G. Larson, A simple nonconforming bilinear element for the elasticity problem. Trends in Computational Structural Mechanics, W.A. Wall et al. Eds., CIMNE (2001) 317-327.
    • (2001) Trends in Computational Structural Mechanics , pp. 317-327
    • Hansbo, P.1    Larson, M.G.2
  • 11
    • 84951671794 scopus 로고
    • Über ein variationsprinzip zur lösung von dirichlet-problemen bei verwendung von teilräumen, die keinen randbedingungen unterworfen sind
    • J. Nitsche, Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Univ. Hamburg 36 (1971) 9-15.
    • (1971) Abh. Math. Sem. Univ. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 14
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    • An elliptic collocation-finite element method with interior penalties
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    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 152-161
    • Wheeler, M.F.1
  • 15
    • 0003979117 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods: Theory, computation, and applications
    • Springer Verlag
    • B. Cockburn, K.E. Karniadakis and C.-W. Shu Eds., Discontinuous Galerkin Methods: Theory, Computation, and Applications. Lecture Notes Comput. Sci. Eng., Springer Verlag (1999).
    • (1999) Lecture Notes Comput. Sci. Eng.
    • Cockburn, B.1    Karniadakis, K.E.2    Shu, C.-W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.